Pre-Algebra Examples

$(- 2, 0)$

Step 1

To find an exponential function, $f (x) = a^{x}$ , containing the point, set $f (x)$ in the function to the $y$ value $0$ of the point, and set $x$ to the $x$ value $- 2$ of the point.

$0 = a^{- 2}$

Step 2

Solve the equation for $a$ .

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Step 2.1

Rewrite the equation as $a^{- 2} = 0$ .

$a^{- 2} = 0$

Step 2.2

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{a^{2}} = 0$

Step 2.3

Set the numerator equal to zero.

$1 = 0$

Step 2.4

Since $1 \neq 0$ , there are no solutions.

No solution

Step 3

Since there is no real solution, the exponential function cannot be found.

The exponential function cannot be found